Question

# 19 A regression was run to determine if there is a relationship between hours of TV...

19

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).

The results of the regression were:

```y=ax+b
a=-1.082
b=36.749
r2=0.6889
r=-0.83
```

Use this to predict the number of situps a person who watches 7 hours of TV can do (to one decimal place)

18

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

 xx yy 11.4 8.5 6.8 3.4 2.7 2.3 2.6 0.4 14 11.6 10 6.7 6.1 5.9 6.5 4.4

xx = thousands of automatic weapons
yy = murders per 100,000 residents

This data can be modeled by the equation y=0.89x+3.92.y=0.89x+3.92. Use this equation to answer the following;

A) How many murders per 100,000 residents can be expected in a state with 9.8 thousand automatic weapons?

Answer =  Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a state with 6.9 thousand automatic weapons?

Answer =  Round to 3 decimal places.

17

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

 xx yy 11.4 8.4 6.6 3.5 2.7 2.4 2.4 0.7 13.8 10.9 9.6 7.1 6.6 5.8 5.8 4.6

xx = thousands of automatic weapons
yy = murders per 100,000 residents

This data can be modeled by the equation y=0.85x+3.97.y=0.85x+3.97. Use this equation to answer the following;
Special Note: I suggest you verify this equation by performing linear regression on your calculator.

A) How many murders per 100,000 residents can be expected in a state with 3.6 thousand automatic weapons?

Answer =  Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a state with 2.2 thousand automatic weapons?

Answer =  Round to 3 decimal places